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Finding the Fourth Proportional to 98,383.72, 135,768.90 and 55,942.25

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Solution

The fourth proportional to 98,383.72, 135,768.90 and 55,942.25 is: 77,199.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,383.72 : 135,768.90 = 55,942.25 : x
  2. Step 2: Convert to fraction form
    98,383.72/135,768.90 = 55,942.25/x
  3. Step 3: Cross multiply
    98,383.72x = 135,768.90 × 55,942.25
  4. Step 4: Simplify right side
    98,383.72x = 7,595,217,746.03
  5. Step 5: Solve for x
    x = 7,595,217,746.03/98,383.72
  6. Step 6: Final answer
    x = 77,199.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.